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Finding the Fourth Proportional to 24,438, 33,732.12 and 14,500.08

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Solution

The fourth proportional to 24,438, 33,732.12 and 14,500.08 is: 20,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,438 : 33,732.12 = 14,500.08 : x
  2. Step 2: Convert to fraction form
    24,438/33,732.12 = 14,500.08/x
  3. Step 3: Cross multiply
    24,438x = 33,732.12 × 14,500.08
  4. Step 4: Simplify right side
    24,438x = 489,118,438.57
  5. Step 5: Solve for x
    x = 489,118,438.57/24,438
  6. Step 6: Final answer
    x = 20,014.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.